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## Can STD be greater than mean?

The answer is yes. (1) Both the population or sample MEAN can be negative or non-negative while the SD must be a non-negative real number. A smaller standard deviation indicates that more of the data is clustered about the mean while A larger one indicates the data are more spread out.

## What does a standard deviation mean?

Definition: Standard deviation is the measure of dispersion of a set of data from its mean. It measures the absolute variability of a distribution; the higher the dispersion or variability, the greater is the standard deviation and greater will be the magnitude of the deviation of the value from their mean.

**When would you want a small standard deviation?**

A low standard deviation would show a reliable weather forecast. The mean temperature for City A is 94.6 degrees, and the mean for City B is 86.1 degrees.

### Is it better to have a small standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

### Can a standard deviation be negative?

As soon as you have at least two numbers in the data set which are not exactly equal to one another, standard deviation has to be greater than zero – positive. Under no circumstances can standard deviation be negative.

**Is it better to have a higher standard deviation?**

A high standard deviation shows that the data is widely spread (less reliable) and a low standard deviation shows that the data are clustered closely around the mean (more reliable).